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4072132096 = 2926330241
BaseRepresentation
bin1111001010110111…
…1100111000000000
3101111210102202002021
43302231330320000
531314431211341
61512023531224
7202624360144
oct36255747000
911453382067
104072132096
1117aa68112a
129578b9b14
134cb858826
142a8b6d224
1518c7729d1
hexf2b7ce00

4072132096 has 40 divisors (see below), whose sum is σ = 8167517424. Its totient is φ = 2028257280.

The previous prime is 4072132087. The next prime is 4072132109. The reversal of 4072132096 is 6902312704.

4072132096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119536 + ... + 149776.

Almost surely, 24072132096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083758712).

4072132096 is an abundant number, since it is smaller than the sum of its proper divisors (4095385328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4072132096 is an equidigital number, since it uses as much as digits as its factorization.

4072132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30522 (or 30506 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 4072132096 is about 63813.2595625705. The cubic root of 4072132096 is about 1596.8861438688.

The spelling of 4072132096 in words is "four billion, seventy-two million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 263 512 526 1052 2104 4208 8416 16832 30241 33664 60482 67328 120964 134656 241928 483856 967712 1935424 3870848 7741696 7953383 15483392 15906766 31813532 63627064 127254128 254508256 509016512 1018033024 2036066048 4072132096